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Finding the Fourth Proportional to 180,724.67, 249,401.45 and 100,153.50

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Solution

The fourth proportional to 180,724.67, 249,401.45 and 100,153.50 is: 138,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,724.67 : 249,401.45 = 100,153.50 : x
  2. Step 2: Convert to fraction form
    180,724.67/249,401.45 = 100,153.50/x
  3. Step 3: Cross multiply
    180,724.67x = 249,401.45 × 100,153.50
  4. Step 4: Simplify right side
    180,724.67x = 24,978,428,122.58
  5. Step 5: Solve for x
    x = 24,978,428,122.58/180,724.67
  6. Step 6: Final answer
    x = 138,212.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.